23.Many-qubit Hamiltonians

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Professor, the Hamiltonian of an electron can be mapped to the Hamiltonian of a qubit by the Jordan method. We have the formula you gave, and the multi-body Hamiltonian can be expressed in the form of coefficient multiplied by Pauli basis. But is this linear combination unique? The so-called optimization, is it necessary to find the smallest sum of coefficients of a linear combination? In addition, I can understand what you said, the tensor product of the identity matrix I and I does not need to be measured. Z and I, and Z and Z are measured directly, but I still can't understand the situation of X and X after listening to your speech. So if X and I appear (does it need to be measured after adding H GATE), how should we solve the tensor product of Y and Y? What about the tensor product of Y and X?

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